On Acceleration of a Class of Asymptotically Stable Homogeneous Systems
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作者:
Efimov, D.
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Inria, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
Ecole Cent Lille, CRIStAL UMR CNRS 9189, F-59651 Villeneuve Dascq, France
Univ ITMO, Dept Control Syst & Informat, 49 Ave Kronverkskiy, St Petersburg 197101, RussiaInria, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
Efimov, D.
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Levant, A.
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机构:
Inria, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
Ecole Cent Lille, CRIStAL UMR CNRS 9189, F-59651 Villeneuve Dascq, France
Tel Aviv Univ, Sch Math Sci, IL-6997801 Tel Aviv, IsraelInria, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
Levant, A.
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Polyakov, A.
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机构:
Inria, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
Ecole Cent Lille, CRIStAL UMR CNRS 9189, F-59651 Villeneuve Dascq, France
Univ ITMO, Dept Control Syst & Informat, 49 Ave Kronverkskiy, St Petersburg 197101, RussiaInria, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
Polyakov, A.
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]
Perruquetti, W.
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机构:
Inria, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
Ecole Cent Lille, CRIStAL UMR CNRS 9189, F-59651 Villeneuve Dascq, FranceInria, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
Perruquetti, W.
[1
,2
]
机构:
[1] Inria, Non A Team, Parc Sci Haute Borne,40 Ave Halley, F-59650 Villeneuve Dascq, France
[2] Ecole Cent Lille, CRIStAL UMR CNRS 9189, F-59651 Villeneuve Dascq, France
[3] Univ ITMO, Dept Control Syst & Informat, 49 Ave Kronverkskiy, St Petersburg 197101, Russia
[4] Tel Aviv Univ, Sch Math Sci, IL-6997801 Tel Aviv, Israel
A switched supervisory algorithm is proposed, which ensures fixed-time convergence by commutation of finite time or exponentially stable homogeneous systems of a special class, and a finite-time convergence to the origin by orchestrating among asymptotically stable systems. A particular attention is paid to the case of exponentially stable systems. Performance of the proposed control algorithms is illustrated by computer experiments.
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
Zhang, Ziheng
Yuan, Rong
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机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China